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A few splitting criteria for vector bundles
Authors:Francesco Malaspina
Institution:(1) Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy
Abstract:We prove a few splitting criteria for vector bundles on a quadric hypersurface and Grassmannians. We give also some cohomological splitting conditions for rank 2 bundles on multiprojective spaces. The tools are monads and a Beilinson’s type spectral sequence generalized by Costa and Miró-Roig.
Keywords:Monads  Vector bundles  Beilinson’  s type spectral sequence
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